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Finding the Third Proportional to 201,930.50 and 313,548.75

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Solution

The third proportional to 201,930.50 and 313,548.75 is: 486,864.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,930.50 : 313,548.75 = 313,548.75 : x
  2. Step 2: Convert to fraction form
    201,930.50/313,548.75 = 313,548.75/x
  3. Step 3: Cross multiply
    201,930.50x = 313,548.75 × 313,548.75
  4. Step 4: Simplify right side
    201,930.50x = 98,312,818,626.56
  5. Step 5: Solve for x
    x = 98,312,818,626.56/201,930.50
  6. Step 6: Final answer
    x = 486,864.63

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.